a Department of Mathematics, University of Calabria, Via Pietro Bucci, I-87036, Arcavacata di Rende, Rende, Cosenza, Italy b Department of Mathematics and Computer Science, University of Catania, Viale A. Doria 6, 95125, Catania, Italy
Abstract:
We consider a system of partial differential-algebraic equations which model an electric network containing semiconductor devices. The zero-dimensional differential-algebraic network equations are coupled with multi-dimensional elliptic partial differential equations which model the devices. For this coupled system we prove an existence result.